Question

A sphere has a radius that is 15.6 inches long . Find the volume of the sphere . Round to the nearest tenth?

Answer 1

The volume of the sphere is `5061.90pi` (rounded to the nearest tenth and leaving it in term of pi) or `15894.30` (rounded to the nearest tenth and not leaving it in term of pi).

Explanation:

So the volume of a sphere is: `V=4/3pir^3`

We know the radius is 15.6 inches so we can plug this into the formula. Now before we even start calculating, if it doesn't mention to include pi or not, do not replace `pi` with 3.14 unless it specifically mention to leave it in term of pi. Since it is decimal, it most likely either want to leave it in term of pi or not. Either way, we will receive a decimal value. So let do both ways.

`V=4/3pi(15.6)^3` - Plug numbers into the formula of known values
`V=4/3pi(3796.416)` - Multiply 15.6 3 times.
`V=5061.888pi` - Multiplied `3796.416` by `4/3`

Now, if you were to not leave it in term of pi, you would multiply 5061.888 by 3.14 which gives us 15894.32832.

So rounding `5061.888pi` to the nearest tenth would be `5061.90pi`.
Rounding `15894.32832` would be `15894.30`.